Write for the person a funded program just told it cannot take
Free representation in this city is real and its eligibility is narrow, so a steady population is turned away by somebody they trusted before they ever look for a firm.
The no is almost always about a program's rules rather than the merits. Wrong case type, wrong income band, wrong borough for that office, an intake list that closed in the spring.
Somebody in that position arrives at your page believing two things at once: that their situation is probably hopeless, and that paying a lawyer is what people do after they have run out of options. Neither is a good place to start a first call.
So make the material that begins there. What an eligibility rule actually means, what a private firm can take on that a funded program cannot, and what the first conversation costs before anybody commits to anything.
None of it works as a swipe at those organizations. They are the reason your reader understands anything about their own case at all, and at the professional level this city is small enough that a firm which talks down about them is known for it by Friday.